$\text { For the curve } r ( t ) \text {, write the acceleration in the form aTT } + \text { anN. }$

question 9

Multiple Choice

$\text { For the curve } r ( t ) \text {, write the acceleration in the form aTT } + \text { anN. }$
- $$\mathbf { r } ( \mathrm { t } ) = \left( \mathrm { t } ^ { 2 } - 1 \right) \mathbf { i } + ( 2 \mathrm { t } - 3 ) \mathbf { j } + 6 \mathbf { k }$$

• A) \(a = \frac { t } { t ^ { 2 } + 1 } \mathbf { T } + \frac { 1 } { t ^ { 2 } + 1 } \mathbf { N }\)
• B) \(\mathbf { a } = \frac { 2 \mathrm { t } } { \sqrt { \mathrm { t } ^ { 2 } + 1 } } \mathbf { T } + \frac { 2 } { \sqrt { \mathrm { t } ^ { 2 } + 1 } } \mathbf { N }\)
• C) \(\mathbf { a } = \frac { \mathrm { t } } { \sqrt { \mathrm { t } ^ { 2 } + 1 } } \mathbf { T } + \frac { 1 } { \sqrt { \mathrm { t } ^ { 2 } + 1 } } \mathbf { N }\)
• D) \(\mathbf { a } = \frac { 2 t } { t ^ { 2 } + 1 } \mathbf { T } + \frac { 2 } { t ^ { 2 } + 1 } \mathbf { N }\)

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